Geodesic
Chevalley's Theorem for Affine Nash Groups
Journal of Lie theory, Tome 26 (2016) no. 2, pp. 359-369
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We formulate and prove Chevalley's theorem in the setting of affine Nash groups. As a consequence, we show that the semi-direct product of two almost linear Nash groups is also an almost linear Nash group.
Classification : 22E15, 14L10, 14P20
Mots-clés : Nash manifold, Nash group, algebraic group, Chevalley's theorem 
@article{JLT_2016_26_2_JLT_2016_26_2_a1,
     author = {Y. Fang and B. Sun},
     title = {Chevalley's {Theorem} for {Affine} {Nash} {Groups}},
     journal = {Journal of Lie theory},
     pages = {359--369},
     year = {2016},
     volume = {26},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JLT_2016_26_2_JLT_2016_26_2_a1/}
}
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Y. Fang; B. Sun. Chevalley's Theorem for Affine Nash Groups. Journal of Lie theory, Tome 26 (2016) no. 2, pp. 359-369. http://geodesic.mathdoc.fr/item/JLT_2016_26_2_JLT_2016_26_2_a1/